This is a list of the concepts that could be covered on the final. As with all math tests, it is expected that you remember and can use previous material that you have learned. This can include, but is not limited to, solving equations, solving inequalities, simplifying expressions, using the quadratic formula, factoring, and using your calculator where appropriate.

The example problems given are intended solely to clarify what each statement means.  They are not intended to indicate the type of problem that will be on the final.  It is possible that problems on the final could combine more than one concept or require the use of a concept in a new situation.

• Be able to calculate the distance between two points and the midpoint of the line segment connecting two points. (i.e.:  Homework_1 #1)

• Be able to algebraically write the equation of a circle in standard form by completing the square and identify the center and radius. (i.e.:  Homework_2 #5)

• Be able to calculate x- and y-intercepts algebraically (Remember to give your intercepts as ordered pairs or you will lose points!). (i.e.:  Homework_2 #1)

• Be able to algebraically determine a linear equation which satisfies certain criteria (such as parallel or perpendicular to a given line and goes through a specific point). (i.e.:  Homework_3 #2, #6)

• Be able to determine a linear equation for an application problem and use the equation to project future values. (i.e.:  Homework_4 #1)

• Be able to determine a Cost, Revenue and Profit function and to algebraically determine the break even point. (i.e.:  Homework_4 #6)

• Be able to use functional notation to calculate the value of a function at a given point. (i.e.:  Homework_5 #1, #2)

• Be able to determine the domain (algebraically) and range of a function given the equation.  (See the Domain Rules for what work would need to be shown for algebraic work.  You should also refer to the Domain Rules when explaining why the domain might be all real numbers.)  (i.e.:  Homework_5 #5 - #7)

• Be able to determine the domain and range of a function given its graph. (i.e.:  Homework_6 #1)

• Be able to rewrite the equation for a basic function that has been transformed. (i.e.:  Homework_7 #6)

• Be able to graph the transformation of a given function. (i.e.:  Homework_7 #1)

• Be able to add, subtract, multiply, and divide functions. (i.e.:  Homework_8 #1)

• Be able to find and simplify the composition of two functions. (i.e.:  Homework_8 #3)

• Be able to algebraically compute the inverse of a function (i.e.:  Homework_9 #1)

• Be able to write a quadratic equation in standard form, by completing the square. (i.e.:  Homework_10 #4, Homework_10-also-recommended #2)

• Be able to algebraically and graphically determine the vertex of a quadratic equation. (i.e.:  Homework_10 #4)

• Be able to apply quadratic functions to application problems. (i.e.:  Homework_10 #7)

• Be able to determine an equation of a polynomial function given its graph. (i.e.:  Homework_11 #7)

• Be able to algebraically find the zeros (roots) of a polynomial function. (i.e.:  Homework_11 #1)

• Be able to use synthetic and long division to divide polynomials. (i.e.:  Homework_12 #1 and 2)

• Be able to apply the Rational Zero Test. (This might be used in finding all the zeros of a polynomial.) (i.e.:  Homework_13 #4)

• Be able to algebraically find the vertical asymptote(s), horizontal asymptote, zeros, domain , and x- and y-intercepts (algebraically) of a rational function.  REMEMBER, asymptotes are equations. (i.e.:  Homework_16 #2)

• Be able to apply the properties of logarithms to expand or condense a logarithmic expression.  (i.e.:  Homework_19 #1)

• Be able to algebraically solve an exponential or logarithmic equation.  (i.e.:  Homework_20 #3)

• Be able to apply exponential and logarithmic functions to real world problems (population models, half-life models, etc).  (i.e.:  Homework_21 #2)

• Be able to solve a system of equations (Method of Elimination, Substitution Method, and Graphing Method).  (i.e.:  Homework_22 #2; Homework_23 #1; Homework_24 #1)